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带时变增长率、迁移率、波动率的种群变动模型与生物防治最小成本的确定方法 被引量:2

A Dynamic Model of Insects' Population With T-dependent Rate of Increase, Migration, Fluctuate and A Method to Determine the Minimum Cost of Preventing Pests by Using The Pests' Natural Enemy
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摘要 用回归方法确定种群数量增长率、迁移率与波动率的最优拟合曲线,求解带时变漂移串与波动串的It(?)随机微分方程,建立有迁移行为的害虫种群的数量变动模型,进而给出确定生物防治最小成本的计算方法,指出了确定模型中参数的统计方法。 A dynamic model of insects' population with migration acting was evaluated by solving Ito stochastic differential equation with t-deperident rate of increase and fluctuate, a formula to determine the minimum cost of preventing pests by using the pests' natural enemy was proposed , the statistical methods to get the optimal fitting curve for the insects' population's increasing rate, migrating rate, fluctuating rate and to determine the parameters in the model was pointed out.
作者 李时银
机构地区 厦门大学数学系
出处 《数学的实践与认识》 CSCD 1999年第4期1-6,共6页 Mathematics in Practice and Theory
关键词 昆虫 生物防治 种群变动模型 时变增长率 迁移率 the quantity of insects' population, stochastic differential equation, preventing insects by using the insects' enamy, the minimum cost
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参考文献4

  • 1李时银.农业害虫复合种群的时间分布及其应用[J].华中农业大学学报,1995,14(2):131-137. 被引量:6
  • 2[美]蒋庆琅(Chiang,C·L·) 著,方积乾.随机过程原理与生命科学模型[M]上海翻译出版公司,1987.
  • 3南京农学院.昆虫生态及预测预报[M]农业出版社,1985.
  • 4[美]弗里德曼(A· Friedman) 著,吴让泉.随机微分方程及其应用[M]科学出版社,1983.

二级参考文献1

共引文献5

同被引文献12

  • 1李时银.农业害虫复合种群的时间分布及其应用[J].华中农业大学学报,1995,14(2):131-137. 被引量:6
  • 2李时银.害虫危害期与作物受害期的吻合度及其应用[J].华中农业大学学报,1996,15(2):141-145. 被引量:2
  • 3Ding yanqing, Mathematical Ecology of Insect' Population, Beijing, Science Publishing House,1994, 101-170.
  • 4A. T. Bharucha-Reid, Elements of the Theory of Markov Processes and Their Application, Mc Graw-Hill, New York. U.S.A, 1979, 35-70.
  • 5Chin Long Chiang, An Introduction of Stochastic Processes and their Application, New York,Robert. E. Krieger Publishing Co, 1980, 69-81.
  • 6李时银,世代明显的昆虫种群数量的动态模型及其应用,曾庆存,李大潜等主编CSIAM(5),[c],北京,清华大学出版社,1998,308-312.
  • 7Olav Kallenberg, Foundations of Modern Probability, New York, Springer-Verlag, 1997, 199-220.
  • 8Y.K.Kwok, Mathematical Models of Financial Derivatives, Singpore, Springer-Verlag, 1998,244-267.
  • 9Paul. Wilmott, Derivatives-the Theory and Practice of Financial Engineering, New York,John Wiely & Sons Ltd, 1998, 46-51.
  • 10李时银.农业害虫种群时间分布的动态分析[J].华中农业大学学报,1997,16(4):351-356. 被引量:2

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